If one root of the equation `ax^2+ bx+ c=0` be n times the other,show that `(n+1)^2/n=b^2/(ac)`

If one root of the equation x^2 - px + q = 0 be twice the other, show that 2p^2 = 9q

If p be the ratio of roots of the equation ax^2 + bx + c = 0 , show that (p + 1)^2/p=b^2/(ac) .

The roots of the equation ax^2+x+b=0 are equal if

If the roots of the equation ax^2 + bx + c = 0 are in the ratio 2:3 , then prove that 6b^2 = 25ac

If one root of the equation x^2+ax+3=0 is 1,then its other root is a)2 b)-2 c)3 d)-3

If a and b are the roots of the equation x^2+ax+b=0 ,then a+b=

If x=11,7 are the roots of the equation ax^2+bx+77=0 ,find the value of a,b.

If alpha , beta be the roots of the equation ax^2 + bx + c = 0 , form the quadratic equation whose roots are 1/alpha , 1/beta

The equation ax^2+2x+a=0 has two distinct roots,if

The roots of the equation ax^2+bx+c=0 will be equal in magnitute but opposite in sign then b= a)0 b)c/a c)1 d)1/a